11100101004 has 192 divisors, whose sum is σ = 30128112000. Its totient is φ = 3576089088.

The previous prime is 11100100997. The next prime is 11100101029. The reversal of 11100101004 is 40010100111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41264182 + ... + 41264450.

It is an arithmetic number, because the mean of its divisors is an integer number (156917250).

Almost surely, 2^11100101004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11100101004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15064056000).

11100101004 is an abundant number, since it is smaller than the sum of its proper divisors (19028010996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11100101004 is an equidigital number, since it uses as much as digits as its factorization.

11100101004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 416 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 11100101004 its reverse (40010100111), we get a palindrome (51110201115).

The spelling of 11100101004 in words is "eleven billion, one hundred million, one hundred one thousand, four".